Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Partial differential equations on subanalytic domains and manifolds

2021/43/B/ST1/02359

Keywords:

partial differential equations elliptic partial differential equations Sobolev spaces subanalytic sets Lipschitz geometry

Descriptors:

  • ST1_005:
  • ST1_011:
  • ST1_008:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Guillaume Regis Valette 

Number of co-investigators in the project: 3

Call: OPUS 22 - announced on 2021-09-15

Amount awarded: 326 844 PLN

Project start date (Y-m-d): 2022-07-15

Project end date (Y-m-d): 2026-07-14

Project duration:: 48 months (the same as in the proposal)

Project status: Pending project

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (4)
  • Book publications / chapters in book publications (1)
  1. On Sobolev spaces of bounded subanalytic manifolds
    Authors:
    Guillaume Valette
    Academic press:
    Mathematische Annalen (rok: 2024, tom: -, strony: 45), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-024-02810-2 - link to the publication
  2. Semialgebraic Calderón-Zygmund theorem on regularization of the distance function
    Authors:
    Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette
    Academic press:
    Mathematische Annalen (rok: 2024, tom: -, strony: 21), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-023-02795-4 - link to the publication
  3. Uniform Poincare inequality in o-minimal structures
    Authors:
    Anna Valette, Guillaume Valette
    Academic press:
    Mathematical Inequalities and Applications (rok: 2023, tom: 6, strony: 141-160), Wydawca: Ele-Math
    Status:
    Published
    DOI:
    10.7153/mia-2023-26-11 - link to the publication
  4. A remark on C∞ definable equivalence
    Authors:
    Anna Valette, Guillaume Valette
    Academic press:
    Annales Polonici Mathematici (rok: 2023, tom: 131, strony: 79-84), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ap230321-10-8 - link to the publication
  1. Regular Vectors and Bi-Lipschitz Trivial Stratifications in O-Minimal Structures,
    Authors:
    Guillaume Valette
    Book:
    Handbook of Geometry and Topology of Singularities IV (rok: 2023, tom: 4, strony: 411–448), Wydawca: Springer, Cham
    Status:
    Published
    DOI:
    10.1007/978-3-031-31925-9_7 - link to the publication